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Finding the Third Proportional to 930,933 and 1,423,476

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Solution

The third proportional to 930,933 and 1,423,476 is: 2,176,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,933 : 1,423,476 = 1,423,476 : x
  2. Step 2: Convert to fraction form
    930,933/1,423,476 = 1,423,476/x
  3. Step 3: Cross multiply
    930,933x = 1,423,476 × 1,423,476
  4. Step 4: Simplify right side
    930,933x = 2,026,283,922,576
  5. Step 5: Solve for x
    x = 2,026,283,922,576/930,933
  6. Step 6: Final answer
    x = 2,176,616.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.